a,M=2^0-2^1+2^2-2^3+2^4-2^5+.....+2^2012

2M=2^1-2^2+2^3-2^4+2^5-2^5+......-2^2012+2^2013

3M=2^0+2^2013

M=(2^0+2^2013)÷3

Vậy.......

b,N=3-3^2+3^3-3^4+3^5-3^6+.....+3^2011-3^2012

3N=3^2-3^3+3^4-3^5+3^6-3^7+......+3^2012-3^2013

4N=3-3^2013

N=(3-3^2013)÷4

Vậy........

K tao nhé ko lên lớp tao đánh m😈😈😈

Bt dễ thế mà ko làm dc😂😂😂😂😂

phần c đâu

\(A=2\sqrt{3}+\sqrt{\left(2+\sqrt{3}\right)^2}\\ =2\sqrt{3}+\left|2+\sqrt{3}\right|\\ =2\sqrt{3}+2+\sqrt{3}\\ =3\sqrt{3}+2\)

`Answer:`

`a)`

`A=5(x+1)^2-3(x-3)^2-4(x^2-4)`

`=>A=5(x^2+2x+1)-3(x^2-6x+9)-4x^2+16`

`=>A=5x^2+10x+5-3x^2+18x-27-4x^2+16`

`=>A=(5x^2-3x^2-4x^2)+(10x+18x)+(5-27+16)`

`=>A=-2x^2+28x-6`

`b)`

`B=5(x+1)^2-3(x-3)^2-4(x+2)(x-2)`

`=2x(3x+5)-3(3x+5)-2x(x^2-4x+4)-[(2x)^2-3^2]`

`=6x^2+10x-9x-15-2x^3+8x^2-8x-4x^2+9`

`=(6x^2-4x^2+8x^2)-2x^3+(10x-9x-8x)+(-15+9)`

Thay `x=-7` vào ta được:

`B=10(-7)^2-2(-7)^3-7(-7)-6`

`=>B=10.49-2(-343)+49-6`

`=>B=490+686+49-6`

`=>B=1219`

ĐKXĐ: `x>=0;x\ne9`

`(x^2-3)/(sqrtx-3)=((x-sqrt3)(x+sqrt3))/(x+sqrt3)=x-sqrt3`

`a)(x^2-3)/(x+\sqrt3)`

`->` ĐKXĐ : `x>=0;x\ne9`

`=((x-\sqrt3)(x+\sqrt3))/(x+\sqrt3)`

`=(x-\sqrt3)/1`

`=x-\sqrt3`

a) \(\left(3x-2\right)^2-\left(2x+3\right)\left(2x-3\right)\)

\(=9x^2-12x+4-4x^2+9\)

\(=5x^2-12x+13\)

b) \(3x\left(5x-2\right)-\left(2x^2-1\right)\left(2-x\right)\)

\(=15x^2-6x-\left(4x^2-2x^3-2+x\right)\)

\(=15x^2-6x-4x^2+2x^3+2-x\)

\(=11x^2-7x+2x^3+2\)

A=3³=27
\(B=\dfrac{2^{11}.9^2}{3^5.2^8}=\dfrac{2^{11}.3^4}{3^5.2^8}=\dfrac{2^3}{3}=\dfrac{8}{3}\)

A=3^3=9

B=2^3/3^5=8/243

A=3^18:3^15=3^3

B=(2^11.3^4)/(3^5.2^8)

=2^3/3=8/3

Chúc bạn học tốt!

a) \(\left(3-xy^2\right)^2-\left(2+xy^2\right)^2\)

\(=\left(3-xy^2+2+xy^2\right)\left(3-xy^2-2-xy^2\right)\)

\(=5.\left(-2xy^2\right)\)

\(=-10xy^2\)

b) \(\left(x-y\right)\left(x^2+xy+y^2\right)\)

\(=x^3-y^3\)

c) \(\left(x-3\right)^3+\left(2-x\right)^3\)

\(=x^3-3x^2.3+3x.3^2-3^3+2^3-3.2^2.x+3.2.x^2-x^3\)

\(=x^3-9x^2+27x-27+8-12x+6x^2-x^3\)

\(=\left(x^3-x^3\right)+\left(-9x^2+6x^2\right)+\left(27x-12x\right)+\left(-27+8\right)\)

\(=-3x^2+15x-19\)

a ) 2 - 3 2 = 2 - 3 = 2 - 3

(vì 2 - √3 > 0 do 2 = √4 mà √4 > √3)

b ) 3 - 11 2 = 3 - 11 = 11 - 3

(vì √11 - 3 > 0 do 3 = √9 mà √11 > √9)

c) 2√a2 = 2|a| = 2a với a ≥ 0

d ) 3 a - 2 2 = 3 a - 2 = 3 2 - a

(vì a < 2 nên 2 – a > 0)

\(A=\sqrt{64a^2}\cdot2a=\sqrt{\left(8a\right)^2}\cdot2a=\left|8a\right|\cdot2a\)

Với a < 0 A = 8a.(-2a) = -16a²

Với a ≥ 0 A = 8a.2a = 16a²

\(B=3\sqrt{9a^6}-6a^3=3\sqrt{\left(3a^3\right)^2}-6a^3=9\left|a^3\right|-6a^3\)